Orthospectra of Geodesic Laminations and Dilogarithm Identities on Moduli Space
Geometric Topology
2014-11-11 v1 Metric Geometry
Abstract
Given a measured lamination on a finite area hyperbolic surface we consider a natural measure Mon the real line obtained by taking the push-forward of the volume measure of the unit tangent bundle of the surface under an intersection function associated with the lamination. We show that the measure M gives summation identities for the Rogers dilogarithm function on the moduli space of a surface.
Cite
@article{arxiv.0903.0683,
title = {Orthospectra of Geodesic Laminations and Dilogarithm Identities on Moduli Space},
author = {Martin J. Bridgeman},
journal= {arXiv preprint arXiv:0903.0683},
year = {2014}
}
Comments
21 pages, 2 figures